Ben has some tiles. Each tile is the shape of a parallelogram. 6cm at the top and 10cm on the side He places the tiles in a row to make a shape with area 720cm2. How many tiles does he use?
Answers
Answer:
12 tiles
Step-by-step explanation:
First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.
If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2
Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:
1 tile -> 60 cm2
x tiles -> 720 cm2
x = 720 / 60 = 12 tiles
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Need help ASAP! Sorry for the low-ish quality
Answers
Answer:
With Method I, they should plan to refinish 92 chairs and with Method II they should plan to refinish 70 chairs.
Step-by-step explanation:
This problem can be solved by means of a system of equations, that is to say a system that in this case will contain 2 linear equations with two variables: "x" and "y".
First you must define what your variables x and y are:
- x: Chairs refinished by method I.
- y: Chairs refinished by method II.
On the one hand, you know that between method I and method II they plan to work 151 hours. In method I, each chair takes 0.5 hours of work, this means that to obtain the total amount of time it takes to work in the "x" chairs by this method, 0.5 must be multiplied by the number of chairs. You can apply the same reasoning to calculate the total amount of time it takes to work on the "y" chairs by method II knowing that each chair takes 1.5 hours. Everything said above is represented by the equation:
Equation (A)
In the equation the values 0.5 and 1.5 are represented in the form of a fraction (1/2 and 3/2 respectively) to be able to solve more in a way how the system of equations.
On the other hand, to state the other equation of the system, it must be taken into account that by method I the material costs $ 9 for each chair and by method II the material costs $ 7 for each chair. To determine the value of the material in each method, multiply the value of each chair by the amount of chairs refinished in each case. And the sum of the value of the materials of both methods must be $ 1318. This is represented by the equation:
9*x+7*y=1318 Equation (B)
Having both equations, you can solve the system. There are several methods to solve it, but one of the easiest and most widely used methods is substitution. This consists of isolating one of the variables from one of the equations and replacing it in the other equation.
In this case you can choose to isolate the variable x from equation B, resulting in:
Equation (C)
It is always preferable to work in fractions for convenience to solve the calculations.
Now you replace the expression obtained from x in equation A, obtaining:
Now you have an equation with a variable, "y", which can be solved, that is, you can get the value of "y". So "y"=70
Remembering that the variable "y" is the number of chairs refinished by method II, the value of "y" means that 70 chairs by that method were refinished.
To calculate the value of "x", you simply replace the value of "y" in either of the two equations (A) or (B) of the system and solve the equation. Or you can replace the value of "y" in equation (C): Either way the result must be the same: "x"=92
Remembering that the variable "x" is the number of chairs refinished by method I, the value of "x" means that 92 chairs by that method were refinished.
Answers
Answer: Two and ninety-six hundredths in decimal form would be 2.96!
Step-by-step explanation:
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Answer: the answer is either the first one or the third not exactly sure
Step-by-step explanation:
Answer:
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x = −8
y = 10
x = 2
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Answers
= 5/6 + -1/3
= 5/6 + -2/6
= 3/6
= 1/2 or 0.5 is the answer
If it helped let me know
B: you'll make a profit of $15
C: you'll make a profit of $150
D: you'll suffer a lose if $150
Answers
The true statement is that you'll make a profit of $150 which is option C.
Given that,
A share of stock in the Lofty Cheese Company is quoted at 25 1/4.
Suppose you hold 30 shares of that stock, which you bought at 20 1/4.
If you sell your stock at 25 1/4, we have to know if they suffer profit or loss and by what amount.
Cost of the stock which you bought is,
Cost = 30 × 20 1/4
= 30 × 20.25
= 607.5
If you sell your stock at 25 1/4,
Selling price = 30 × 25 1/4
= 30 × 25.25
= 757.5
Difference = 757.5 - 607.5
= 150
Hence you have a profit of $150.
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